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4 men and 5 women can complete a work in 8 days. The same work can be completed by 2 men and 3 women in 14 days. In how many days 1 women will complete the work?
32 days
45 days
38 days
56 days
Solution: 4m + 5w = 8d So 8 × (4m + 5w) = 8/8 d 32m + 40w = 1 …… (1) Also given: 2m + 3w = 14d So 28m + 42w = 1 ……(2)Now equate (1) and (2) 32m + 40w = 28m + 42w Solve, 2m = 1w Put in any of equations above.2w + 5w = 8d 7 w in 8 days. So 1 w in 7 × 8 = 56 days
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